Strongly regular generalized partial geometries and associated LDPC codes
Abstract
In this paper, we introduce strongly regular generalized partial geometries of grade r, which generalise partial geometries and strongly regular (α,β)-geometries. By the properties of quadrics in PG(2,q) and PG(3,q), we construct two classes of strongly regular generalized partial geometries of grade 3. Besides, we define low-density parity-check (LDPC) codes by considering the combinatorial structures of strongly regular generalized partial geometries and derive bounds on minimum distance, dimension and girth for the LDPC codes.
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